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Finding the Fourth Proportional to 572.64, 862.28 and 517.60

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Solution

The fourth proportional to 572.64, 862.28 and 517.60 is: 779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.64 : 862.28 = 517.60 : x
  2. Step 2: Convert to fraction form
    572.64/862.28 = 517.60/x
  3. Step 3: Cross multiply
    572.64x = 862.28 × 517.60
  4. Step 4: Simplify right side
    572.64x = 446,316.13
  5. Step 5: Solve for x
    x = 446,316.13/572.64
  6. Step 6: Final answer
    x = 779.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.